THE METHOD OF CHARACTERISTICS FOR PROBLEMS OF COMPRESSIBLE FLOW INVOLVING TWO INDEPENDENT VARIABLES: PART II. INTEGRATION ALONG A MACH LINE. THE RADIAL FOCUSING EFFECT IN AXIALLY SYMMETRICAL FLOW

Abstract

In this paper we consider the circulatory viscous flow about a circular cylinder of infinite length, the porous surface of which allows a normal velocity of fluid which, at any instant, is constant at all points of the surface. Asymptotic series in inverse powers of a suction Reynolds number are obtained, in steady and unsteady flows, for the distributions of circulation about circles concentric with the cylinder, pressure, and torque on the cylinder. Various comparisons are made with conventional boundary-layer theory.